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The Difference Schemes for Solving Singularly Perturbed Three-Point Boundary Value Problem

dc.authorscopusid 22133512500
dc.authorscopusid 35110362400
dc.authorscopusid 6506398616
dc.authorwosid Cimen, Erkan/J-2065-2017
dc.contributor.author Cakir, Musa
dc.contributor.author Cimen, Erkan
dc.contributor.author Amiraliyev, Gabil M.
dc.date.accessioned 2025-05-10T17:04:14Z
dc.date.available 2025-05-10T17:04:14Z
dc.date.issued 2020
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Cakir, Musa] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey; [Cimen, Erkan] Van Yuzuncu Yil Univ, Fac Educ, Dept Math, TR-65080 Van, Turkey; [Amiraliyev, Gabil M.] Erzincan Univ, Fac Arts & Sci, Dept Math, TR-24000 Erzincan, Turkey en_US
dc.description.abstract In this paper, we propose and analyze numerical treatment for a singularly perturbed convection-diffusion boundary value problem with nonlocal condition. First, the boundary layer behavior of the exact solution and its first derivative have been estimated. Then we construct a finite difference scheme on a uniform mesh. We prove the uniform convergence of the proposed difference scheme and give an error estimate. We also present numerical examples, which demonstrate computational efficiency of the proposed method. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.1007/s10986-020-09471-z
dc.identifier.endpage 160 en_US
dc.identifier.issn 0363-1672
dc.identifier.issn 1573-8825
dc.identifier.issue 2 en_US
dc.identifier.scopus 2-s2.0-85079437610
dc.identifier.scopusquality Q3
dc.identifier.startpage 147 en_US
dc.identifier.uri https://doi.org/10.1007/s10986-020-09471-z
dc.identifier.uri https://hdl.handle.net/20.500.14720/5953
dc.identifier.volume 60 en_US
dc.identifier.wos WOS:000516035800002
dc.identifier.wosquality Q4
dc.language.iso en en_US
dc.publisher Springer en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Singular Perturbation en_US
dc.subject Boundary Value Problem en_US
dc.subject Exponentially Fitted Difference Scheme en_US
dc.subject Uniformly Convergence en_US
dc.subject Nonlocal Condition en_US
dc.title The Difference Schemes for Solving Singularly Perturbed Three-Point Boundary Value Problem en_US
dc.type Article en_US

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